Effects of Interphase Heat Transfer and Surface Tension on Nonlinear Wave Propagation in a Gas-Liquid Mixture

An evolutionary equation with two nonlinearities (basic hydrodynamic and an additional nonlinearity attributable to interphase heat transfer) describing the wave dynamics in a mixture in the presence of viscosity is obtained. For a quasi-adiabatic regime, depending on the heat transfer laws determined by the relations between the thermophysical parameters of the mixture two exact particular solutions predicting different pressure behaviors in the wave are given. Nonmonotonous pressure behavior associated with an increase in the wave amplitude is interpreted as wave amplification as compared with the case of monotonous behavior. Depending on the thermophysical parameters, an interval of permissible Weber numbers is found for which the amplification effect is observed. The surface tension reduces the wave amplitude and width and results in a nonmonotonous dependence of the wave velocity on the Weber number.